Q: What are the prime factors of the number 552,860?

 A: 2, 5, 7, 11, 359

Why are those the prime factors of the number 552,860?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 552,860

552,860
Factor Arrows
2276,430
Factor Arrows
2138,215
Factor Arrows
527,643
Factor Arrows
73,949
Factor Arrows
11359

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 5, 7, 11, 359

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 7 x 11 x 359 = 552,860

This can also be written as 22 x 51 x 71 x 111 x 3591 = 552,860

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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